| Abstract: |
| For a high-dimensional Kuramoto model with nonidentical oscillators, a necessary and sufficient condition for complete phase synchronization is presented. Matrix differential equations describing the synchronisation errors are constructed for commutative oscillators and a class of non-commutative oscillators, respectively. Exponential synchronization and the exponential synchronization rate are obtained.structed. Exponential synchronization and the exponential synchronization rate are achieved. |
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